1144989216 has 288 divisors, whose sum is σ = 3963738240. Its totient is φ = 314979840.

The previous prime is 1144989211. The next prime is 1144989221. The reversal of 1144989216 is 6129894411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1144989211) and next prime (1144989221).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1144989216³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1144989211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812030 + ... + 5812226.

It is an arithmetic number, because the mean of its divisors is an integer number (13762980).

Almost surely, 2^1144989216 is an apocalyptic number.

1144989216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144989216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981869120).

1144989216 is an abundant number, since it is smaller than the sum of its proper divisors (2818749024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1144989216 is a wasteful number, since it uses less digits than its factorization.

1144989216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 240 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1144989216 is about 33837.6892828101. The cubic root of 1144989216 is about 1046.1656722157.

The spelling of 1144989216 in words is "one billion, one hundred forty-four million, nine hundred eighty-nine thousand, two hundred sixteen".